Theorems · Theorem · real analysis
ENNReal.div_self
∀ {a : ENNReal}, a ≠ 0 → a ≠ ⊤ → a / a = 1- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- ENNReal.mul_inv_cancelproof · cited by 37
Cited by19
Results whose statement or proof uses this declaration.
- MeasureTheory.integrable_norm_rpow_iffproof · cited by 5
- thickenedIndicatorAux_zeroproof · cited by 4
- Ergodic.of_mem_extremePoints_measure_univ_eqproof · cited by 2
- MeasureTheory.pdf.IsUniform.isProbabilityMeasureproof · cited by 2
- MeasureTheory.laverage_union_mem_openSegmentproof · cited by 1
- ENNReal.div_eq_one_iffproof · cited by 1
- ENNReal.inv_two_add_inv_twoproof · cited by 1
- Real.Gamma_mul_add_mul_le_rpow_Gamma_mul_rpow_Gammaproof · cited by 1
- ProbabilityTheory.Kernel.densityProcess_fst_univproof · cited by 1
- IsFoelner.mean_univ_eq_oneproof · cited by 1